Exploring Ratios Worksheet

Name:

Date:

🎯 Part 1: Understanding Ratios

1. At a school fair, the ratio of red balloons to blue balloons is 3:5. If there are 15 red balloons, how many blue balloons are there?

Answer: _______ blue balloons

2. A recipe for purple paint mixes red and blue paint in the ratio 2:7. If Sarah uses 6 litres of red paint, how much blue paint does she need?

Answer: _______ litres of blue paint

3. In a bag of lollies, the ratio of strawberry to chocolate flavours is 4:3. If there are 28 strawberry lollies, how many lollies are there altogether?

Answer: _______ lollies in total

4. Draw a bar model to represent the ratio 5:2 in the space below:

✏️ Part 2: Real-Life Ratio Problems

5. Sharing Stickers: Emma and Josh share stickers in the ratio 3:4. If Emma gets 18 stickers, how many stickers does Josh get? Show your working using a bar model.

Josh gets _______ stickers

6. Sports Equipment: The ratio of basketballs to soccer balls in the sports shed is 2:5. If there are 14 basketballs, how many soccer balls are there?

There are _______ soccer balls

7. Fruit Juice Mix: To make a fruit drink, orange juice and apple juice are mixed in the ratio 3:8. How much apple juice is needed if 15 litres of orange juice is used?

_______ litres of apple juice is needed

🤝 Part 3: Problem Solving & Reasoning

8. Pair Work Challenge: In a parking lot, the ratio of cars to vans is 7:2. If there are 63 vehicles altogether, how many are cars and how many are vans? Work with a partner to solve this problem.

Cars: _______ Vans: _______

9. Explain in your own words what a ratio tells us about two quantities. Give an example from your everyday life.

10. Extension: If the ratio of Year 7 to Year 8 students going on a school trip is 5:3, and there are 40 Year 7 students going, what is the total number of students on the trip?

Total students: _______